Show that the linearization of (3) at .0; 14/ is u0 D 4u, v0 D 28u 42v. Then show that the coefficient matrix of this linear system has the positive eigenvalue 1 D 4 and the negative eigenvalue 2 D 42. Hence .0; 14/ is a saddle point for the system in (3). 9

3.3 Chebyshev’s Rule and the Empirical Rule o Chebyshev’s rule o Empirical rule: For a symmetric (bell shaped) distribution Example : Birth weights of females in the United States (full-term) have a bell-shaped distribution with mean of 7.54 pounds and a standard deviation of 0.61 pounds. Use the empirical rule to answer the following: 68% of U.S. female birth weights...